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Título : Quantum Decoherence : Poincaré Seminar 2005 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Duplantier, Bertrand ; Raimond, Jean-Michel ; Rivasseau, Vincent Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2007 Colección: Progress in Mathematical Physics, ISSN 1544-9998 num. 48 Número de páginas: X, 192 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-7808-0 Idioma : Inglés (eng) Palabras clave: Physics Coding theory Applied mathematics Engineering Quantum physics Applications of Mathematics Mathematical Methods in and Information Theory Clasificación: 51 Matemáticas Resumen: The Poincaré Seminar is held twice a year at the Institute Henri Poincaré in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume is devoted to Quantum Decoherence. A broad perspective on the subject is provided by the contributions of W. H. Zurek, H. D. Zeh and E. Joos, together with clean up-to-date presentations of the actual experiments on decoherence both in the mesoscopic systems of atomic physics, by J.M. Raimond and S. Haroche, and in the "quantronic" or condensed matter context, by D. Esteve et al. Further, the question of quantum codes and error corrections is discussed in the contribution of J. Kempe. Nota de contenido: Decoherence and the Transition from Quantum to Classical — Revisited -- Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity -- Approaches to Quantum Error Correction -- Decoherence of a Quantum Bit Circuit -- Roots and Fruits of Decoherence -- Dynamical Consequences of Strong Entanglement En línea: http://dx.doi.org/10.1007/978-3-7643-7808-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34690 Quantum Decoherence : Poincaré Seminar 2005 [documento electrónico] / SpringerLink (Online service) ; Duplantier, Bertrand ; Raimond, Jean-Michel ; Rivasseau, Vincent . - Basel : Birkhäuser Basel, 2007 . - X, 192 p : online resource. - (Progress in Mathematical Physics, ISSN 1544-9998; 48) .
ISBN : 978-3-7643-7808-0
Idioma : Inglés (eng)
Palabras clave: Physics Coding theory Applied mathematics Engineering Quantum physics Applications of Mathematics Mathematical Methods in and Information Theory Clasificación: 51 Matemáticas Resumen: The Poincaré Seminar is held twice a year at the Institute Henri Poincaré in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation. This volume is devoted to Quantum Decoherence. A broad perspective on the subject is provided by the contributions of W. H. Zurek, H. D. Zeh and E. Joos, together with clean up-to-date presentations of the actual experiments on decoherence both in the mesoscopic systems of atomic physics, by J.M. Raimond and S. Haroche, and in the "quantronic" or condensed matter context, by D. Esteve et al. Further, the question of quantum codes and error corrections is discussed in the contribution of J. Kempe. Nota de contenido: Decoherence and the Transition from Quantum to Classical — Revisited -- Monitoring the Decoherence of Mesoscopic Quantum Superpositions in a Cavity -- Approaches to Quantum Error Correction -- Decoherence of a Quantum Bit Circuit -- Roots and Fruits of Decoherence -- Dynamical Consequences of Strong Entanglement En línea: http://dx.doi.org/10.1007/978-3-7643-7808-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34690 Ejemplares
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Título : Quantum Dynamics with Trajectories : Introduction to Quantum Hydrodynamics Tipo de documento: documento electrónico Autores: Wyatt, Robert E ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: Interdisciplinary Applied Mathematics, ISSN 0939-6047 num. 28 Número de páginas: XXII, 408 p Il.: online resource ISBN/ISSN/DL: 978-0-387-28145-2 Idioma : Inglés (eng) Palabras clave: Mathematics Physical chemistry Computer mathematics Quantum physics Fluids Atoms Physics Fluid mechanics Computational and Numerical Analysis Atomic, Molecular, Optical Plasma Fluid- Aerodynamics Chemistry Engineering Dynamics Clasificación: 51 Matemáticas Resumen: Remarkable progress has recently been made in the application of quantumtrajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics. In addition to a thorough discussion of the quantum trajectory equations of motion, there is considerable material that deals with phase space dynamics, adaptive moving grids, electronic energy transfer, and trajectories for stationary states. On the pedagogical side, a number of sections of this book will be accessible to students who have had an introductory quantum mechanics course. There is also considerable material for advanced researchers, and chapters in the book cover both methodology and applications. The book will be useful to students and researchers in physics, chemistry, applied math, and computational dynamics. "This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. It's an excellent survey of the history, current state-of-the-field, and future research directions." Brian Kendrick,Theoretical Division, Los Alamos National Laboratory, Los Alamos,NM, USA The book is unique in that it addresses with equal expertise, computational methodology and theoretical connections at the interface between de Broglie-Bohm theory and phase space moment methods.A highly didactic text, to be recommended to graduate students and researchers in physics and chemistry. Irene Burghardt,Departement de chimie, Ecole Normale Superieure, Paris, France Wyatt shows how one can use the ideas drawn from Bohm's interpretation to develop new and efficient computational methods for both time dependent and time independent quantum mechanics.This is THE definitive text on practical Bohmian mechanics. Eric Bittner,Department of Chemistry, University of Houston, Tx, USA Nota de contenido: to Quantum Trajectories -- The Bohmian Route to the Hydrodynamic Equations -- The Phase Space Route to the Hydrodynamic Equations -- The Dynamics and Properties of Quantum Trajectories -- Function and Derivative Approximation on Unstructured Grids -- Applications of the Quantum Trajectory Method -- Adaptive Methods for Trajectory Dynamics -- Quantum Trajectories for Multidimensional Dynamics -- Approximations to the Quantum Force -- Derivative Propagation Along Quantum Trajectories -- Quantum Trajectories in Phase Space -- Mixed Quantum-Classical Dynamics -- Topics in Quantum Hydrodynamics: The Stress Tensor and Vorticity -- Quantum Trajectories for Stationary States -- Challenges and Opportunities En línea: http://dx.doi.org/10.1007/0-387-28145-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35137 Quantum Dynamics with Trajectories : Introduction to Quantum Hydrodynamics [documento electrónico] / Wyatt, Robert E ; SpringerLink (Online service) . - New York, NY : Springer New York, 2005 . - XXII, 408 p : online resource. - (Interdisciplinary Applied Mathematics, ISSN 0939-6047; 28) .
ISBN : 978-0-387-28145-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Physical chemistry Computer mathematics Quantum physics Fluids Atoms Physics Fluid mechanics Computational and Numerical Analysis Atomic, Molecular, Optical Plasma Fluid- Aerodynamics Chemistry Engineering Dynamics Clasificación: 51 Matemáticas Resumen: Remarkable progress has recently been made in the application of quantumtrajectories as the computational tool for solving quantum mechanical problems. This is the first book to present these developments in the broader context of the hydrodynamical formulation of quantum dynamics. In addition to a thorough discussion of the quantum trajectory equations of motion, there is considerable material that deals with phase space dynamics, adaptive moving grids, electronic energy transfer, and trajectories for stationary states. On the pedagogical side, a number of sections of this book will be accessible to students who have had an introductory quantum mechanics course. There is also considerable material for advanced researchers, and chapters in the book cover both methodology and applications. The book will be useful to students and researchers in physics, chemistry, applied math, and computational dynamics. "This excellent book covers a wide range of topics associated with Quantum Hydrodynamics. It's an excellent survey of the history, current state-of-the-field, and future research directions." Brian Kendrick,Theoretical Division, Los Alamos National Laboratory, Los Alamos,NM, USA The book is unique in that it addresses with equal expertise, computational methodology and theoretical connections at the interface between de Broglie-Bohm theory and phase space moment methods.A highly didactic text, to be recommended to graduate students and researchers in physics and chemistry. Irene Burghardt,Departement de chimie, Ecole Normale Superieure, Paris, France Wyatt shows how one can use the ideas drawn from Bohm's interpretation to develop new and efficient computational methods for both time dependent and time independent quantum mechanics.This is THE definitive text on practical Bohmian mechanics. Eric Bittner,Department of Chemistry, University of Houston, Tx, USA Nota de contenido: to Quantum Trajectories -- The Bohmian Route to the Hydrodynamic Equations -- The Phase Space Route to the Hydrodynamic Equations -- The Dynamics and Properties of Quantum Trajectories -- Function and Derivative Approximation on Unstructured Grids -- Applications of the Quantum Trajectory Method -- Adaptive Methods for Trajectory Dynamics -- Quantum Trajectories for Multidimensional Dynamics -- Approximations to the Quantum Force -- Derivative Propagation Along Quantum Trajectories -- Quantum Trajectories in Phase Space -- Mixed Quantum-Classical Dynamics -- Topics in Quantum Hydrodynamics: The Stress Tensor and Vorticity -- Quantum Trajectories for Stationary States -- Challenges and Opportunities En línea: http://dx.doi.org/10.1007/0-387-28145-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35137 Ejemplares
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Título : Quantum Theory for Mathematicians Tipo de documento: documento electrónico Autores: Hall, Brian C ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 267 Número de páginas: XVI, 554 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-7116-5 Idioma : Inglés (eng) Palabras clave: Mathematics Topological groups Lie Functional analysis Mathematical physics Physics Quantum Applications in the Physical Sciences Analysis Groups, Groups Methods Clasificación: 51 Matemáticas Resumen: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization Nota de contenido: 1 The Experimental Origins of Quantum Mechanics -- 2 A First Approach to Classical Mechanics -- 3 A First Approach to Quantum Mechanics -- 4 The Free Schrödinger Equation -- 5 A Particle in a Square Well -- 6 Perspectives on the Spectral Theorem -- 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements -- 8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs -- 9 Unbounded Self-Adjoint Operators -- 10 The Spectral Theorem for Unbounded Self-Adjoint Operators -- 11 The Harmonic Oscillator -- 12 The Uncertainty Principle -- 13 Quantization Schemes for Euclidean Space -- 14 The Stone–von Neumann Theorem -- 15 The WKB Approximation -- 16 Lie Groups, Lie Algebras, and Representations -- 17 Angular Momentum and Spin -- 18 Radial Potentials and the Hydrogen Atom -- 19 Systems and Subsystems, Multiple Particles -- V Advanced Topics in Classical and Quantum Mechanics -- 20 The Path-Integral Formulation of Quantum Mechanics -- 21 Hamiltonian Mechanics on Manifolds -- 22 Geometric Quantization on Euclidean Space -- 23 Geometric Quantization on Manifolds -- A Review of Basic Material -- References. - Index En línea: http://dx.doi.org/10.1007/978-1-4614-7116-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32337 Quantum Theory for Mathematicians [documento electrónico] / Hall, Brian C ; SpringerLink (Online service) . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XVI, 554 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 267) .
ISBN : 978-1-4614-7116-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Topological groups Lie Functional analysis Mathematical physics Physics Quantum Applications in the Physical Sciences Analysis Groups, Groups Methods Clasificación: 51 Matemáticas Resumen: Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization Nota de contenido: 1 The Experimental Origins of Quantum Mechanics -- 2 A First Approach to Classical Mechanics -- 3 A First Approach to Quantum Mechanics -- 4 The Free Schrödinger Equation -- 5 A Particle in a Square Well -- 6 Perspectives on the Spectral Theorem -- 7 The Spectral Theorem for Bounded Self-Adjoint Operators: Statements -- 8 The Spectral Theorem for Bounded Sef-Adjoint Operators: Proofs -- 9 Unbounded Self-Adjoint Operators -- 10 The Spectral Theorem for Unbounded Self-Adjoint Operators -- 11 The Harmonic Oscillator -- 12 The Uncertainty Principle -- 13 Quantization Schemes for Euclidean Space -- 14 The Stone–von Neumann Theorem -- 15 The WKB Approximation -- 16 Lie Groups, Lie Algebras, and Representations -- 17 Angular Momentum and Spin -- 18 Radial Potentials and the Hydrogen Atom -- 19 Systems and Subsystems, Multiple Particles -- V Advanced Topics in Classical and Quantum Mechanics -- 20 The Path-Integral Formulation of Quantum Mechanics -- 21 Hamiltonian Mechanics on Manifolds -- 22 Geometric Quantization on Euclidean Space -- 23 Geometric Quantization on Manifolds -- A Review of Basic Material -- References. - Index En línea: http://dx.doi.org/10.1007/978-1-4614-7116-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32337 Ejemplares
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Título : David Hilbert's Lectures on the Foundations of Physics 1915-1927 : Relativity, Quantum Theory and Epistemology Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sauer, Tilman ; Majer, Ulrich Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2009 Número de páginas: XII, 690 p Il.: online resource ISBN/ISSN/DL: 978-3-540-68242-4 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy and science History Physics Quantum physics Mechanics of Mathematical Sciences Theoretical, Computational Science Clasificación: 51 Matemáticas Resumen: Volume 5 has three parts, dealing with General Relativity, Epistemological Issues, and Quantum Mechanics. The core of the first part is Hilbert’s two semester lecture course on ‘The Foundations of Physics’ (1916/17). This is framed by Hilbert’s published ‘First and Second Communications’ on the ‘Foundations of Physics’ (1915, 1917) and by a selection of documents dealing with more specific topics like ‘The Principle of Causality’ or a lecture on the new concepts of space and time held in Bucharest in 1918. The epistemological issues concern the intricate relation between nature and mathematical knowledge, in particular the question of irreversibility and objectivity (1921) as well as the subtle question whether what Hilbert calls the ‘world equations’ are physically complete (1923). The last part deals with quantum theory in its early, advanced and mature stages. Hilbert held lecture courses on the mathematical foundations of quantum theory twice, before and after the breakthrough in 1926. These documents bear witness to one of the most dramatic changes in the foundations of science Nota de contenido: Mitteilungen -- The Foundations of Physics: The Lectures (1916#x2013;1917) -- The Foundations of Physics: Specific Topics (1915?#x2013;1918) -- Epistemological Questions of Physics (1921 and 1923) -- Lectures on Radiation and Quantum Theory (1912) -- Lectures on Quantum Theory (1922#x2013;23 and 1926#x2013;27) En línea: http://dx.doi.org/10.1007/b12915 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34008 David Hilbert's Lectures on the Foundations of Physics 1915-1927 : Relativity, Quantum Theory and Epistemology [documento electrónico] / SpringerLink (Online service) ; Sauer, Tilman ; Majer, Ulrich . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2009 . - XII, 690 p : online resource.
ISBN : 978-3-540-68242-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy and science History Physics Quantum physics Mechanics of Mathematical Sciences Theoretical, Computational Science Clasificación: 51 Matemáticas Resumen: Volume 5 has three parts, dealing with General Relativity, Epistemological Issues, and Quantum Mechanics. The core of the first part is Hilbert’s two semester lecture course on ‘The Foundations of Physics’ (1916/17). This is framed by Hilbert’s published ‘First and Second Communications’ on the ‘Foundations of Physics’ (1915, 1917) and by a selection of documents dealing with more specific topics like ‘The Principle of Causality’ or a lecture on the new concepts of space and time held in Bucharest in 1918. The epistemological issues concern the intricate relation between nature and mathematical knowledge, in particular the question of irreversibility and objectivity (1921) as well as the subtle question whether what Hilbert calls the ‘world equations’ are physically complete (1923). The last part deals with quantum theory in its early, advanced and mature stages. Hilbert held lecture courses on the mathematical foundations of quantum theory twice, before and after the breakthrough in 1926. These documents bear witness to one of the most dramatic changes in the foundations of science Nota de contenido: Mitteilungen -- The Foundations of Physics: The Lectures (1916#x2013;1917) -- The Foundations of Physics: Specific Topics (1915?#x2013;1918) -- Epistemological Questions of Physics (1921 and 1923) -- Lectures on Radiation and Quantum Theory (1912) -- Lectures on Quantum Theory (1922#x2013;23 and 1926#x2013;27) En línea: http://dx.doi.org/10.1007/b12915 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34008 Ejemplares
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Título : Determining Spectra in Quantum Theory Tipo de documento: documento electrónico Autores: Demuth, Michael ; SpringerLink (Online service) ; Krishna, Maddaly Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Colección: Progress in Mathematical Physics num. 44 Número de páginas: X, 219 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4439-0 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Operator theory Partial differential equations Potential (Mathematics) Physics Quantum physics Theory Mathematical Methods in Differential Equations Analysis Clasificación: 51 Matemáticas Resumen: Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition. Many of these criteria were published in several articles in di?erent journals. We collected them, added some and gave some overview that can serve as a platform for further research activities. Spectral theory of Schr¨ odinger type operators has a long history; however the most widely used methods were limited in number. For any selfadjoint operatorA on a separable Hilbert space the spectrum is identi?ed by looking atthetotalspectralmeasureassociatedwithit;oftenstudyingsuchameasure meant looking at some transform of the measure. The transforms were of the form f,?(A)f which is expressible, by the spectral theorem, as ?(x)du (x) for some ?nite measureu . The two most widely used functions? were the sx ?1 exponential function?(x)=e and the inverse function?(x)=(x?z) . These functions are “usable” in the sense that they can be manipulated with respect to addition of operators, which is what one considers most often in the spectral theory of Schr¨ odinger type operators. Starting with this basic structure we look at the transforms of measures from which we can recover the measures and their components in Chapter 1. In Chapter 2 we repeat the standard spectral theory of selfadjoint op- ators. The spectral theorem is given also in the Hahn–Hellinger form. Both Chapter 1 and Chapter 2 also serve to introduce a series of de?nitions and notations, as they prepare the background which is necessary for the criteria in Chapter 3 Nota de contenido: Measures and Transforms -- Selfadjointness and Spectrum -- Criteria for Identifying the Spectrum -- Operators of Interest -- Applications En línea: http://dx.doi.org/10.1007/0-8176-4439-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35190 Determining Spectra in Quantum Theory [documento electrónico] / Demuth, Michael ; SpringerLink (Online service) ; Krishna, Maddaly . - Boston, MA : Birkhäuser Boston, 2005 . - X, 219 p : online resource. - (Progress in Mathematical Physics; 44) .
ISBN : 978-0-8176-4439-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Operator theory Partial differential equations Potential (Mathematics) Physics Quantum physics Theory Mathematical Methods in Differential Equations Analysis Clasificación: 51 Matemáticas Resumen: Themainobjectiveofthisbookistogiveacollectionofcriteriaavailablein the spectral theory of selfadjoint operators, and to identify the spectrum and its components in the Lebesgue decomposition. Many of these criteria were published in several articles in di?erent journals. We collected them, added some and gave some overview that can serve as a platform for further research activities. Spectral theory of Schr¨ odinger type operators has a long history; however the most widely used methods were limited in number. For any selfadjoint operatorA on a separable Hilbert space the spectrum is identi?ed by looking atthetotalspectralmeasureassociatedwithit;oftenstudyingsuchameasure meant looking at some transform of the measure. The transforms were of the form f,?(A)f which is expressible, by the spectral theorem, as ?(x)du (x) for some ?nite measureu . The two most widely used functions? were the sx ?1 exponential function?(x)=e and the inverse function?(x)=(x?z) . These functions are “usable” in the sense that they can be manipulated with respect to addition of operators, which is what one considers most often in the spectral theory of Schr¨ odinger type operators. Starting with this basic structure we look at the transforms of measures from which we can recover the measures and their components in Chapter 1. In Chapter 2 we repeat the standard spectral theory of selfadjoint op- ators. The spectral theorem is given also in the Hahn–Hellinger form. Both Chapter 1 and Chapter 2 also serve to introduce a series of de?nitions and notations, as they prepare the background which is necessary for the criteria in Chapter 3 Nota de contenido: Measures and Transforms -- Selfadjointness and Spectrum -- Criteria for Identifying the Spectrum -- Operators of Interest -- Applications En línea: http://dx.doi.org/10.1007/0-8176-4439-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35190 Ejemplares
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